Q:

I NEED HELP!!!!!!! PLSS!!!! 25 POINTS!!!!3.Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, the classes sold 60 items and earned $88.20 for their school. (a) Write and solve a system of equations that model the problem. Show all your work. (b) Which class earned more money? (c) How much more money did that class earn?

Accepted Solution

A:
Answer:Mr Kelly's made more money, $1.4 more.Step-by-step explanation:Let x be the amount sold by Mr Sánchez class and y the amount sold by Mr Kelly class. As together they sold 60 units:x + y = 60 (equation 1)Given the prices and that together there made $88.20 dollars:1.55x + 1.40y = 88.2 (equation 2)Now we need to solve an equation system formed by equations 1 and 2. Take equation 1 and subtract y in both sides:x = 60 - yNow replace this last equation in equation 2:1.55 (60-y) + 1.40y = 88.293 - 1.55y +1.40y = 88.293 - 0.15y = 88.2Subtract 93 in both sides:-0.15y = 88.2-93-0.15y=-4.8Now divide both sides by (-0.15)y = (-4.8)/(-0.15)y = 32So, Mr Kelly's class sold 32 bottles of juice. Consequently, Mr Sanchez's class must have sold 60-32=28 pies.Mr Kelly's class made 32*$1.4=$44.8 and Mr Sanchez's 28*$1.55= $43.4So, Mr Kelly's class made more money. It made 44.8-43.4=$ 1.4 more than Mr Sanchez's.